Pressure Coefficient for Slender Bodies of Revolution Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis
Cp = 2*(θ)^2+kc*y
This formula uses 4 Variables
Variables Used
Pressure Coefficient - The Pressure Coefficient is a dimensionless number that represents the relative pressure difference at a point in a fluid flow compared to the surrounding atmospheric pressure.
Angle of Inclination - (Measured in Radian) - The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics.
Curvature of Surface - (Measured in Meter) - The Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications.
Distance of Point from Centroidal Axis - (Measured in Meter) - The Distance of Point from Centroidal Axis is the measurement from a specific point to the centroidal axis, important for analyzing fluid flow in hypersonic conditions.
STEP 1: Convert Input(s) to Base Unit
Angle of Inclination: 32 Degree --> 0.55850536063808 Radian (Check conversion ​here)
Curvature of Surface: 0.2 Meter --> 0.2 Meter No Conversion Required
Distance of Point from Centroidal Axis: 1.2 Meter --> 1.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cp = 2*(θ)^2+kc*y --> 2*(0.55850536063808)^2+0.2*1.2
Evaluating ... ...
Cp = 0.863856475722944
STEP 3: Convert Result to Output's Unit
0.863856475722944 --> No Conversion Required
FINAL ANSWER
0.863856475722944 0.863856 <-- Pressure Coefficient
(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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Newtonian Flow Calculators

Exact Normal Shock Wave Maximum Coefficient of Pressure
​ LaTeX ​ Go Maximum Pressure Coefficient = 2/(Specific Heat Ratio*Mach Number^2)*(Total Pressure/Pressure-1)
Pressure Coefficient for Slender Bodies of Revolution
​ LaTeX ​ Go Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis
Pressure Coefficient for Slender 2D Bodies
​ LaTeX ​ Go Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)
Modified Newtonian Law
​ LaTeX ​ Go Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2

Pressure Coefficient for Slender Bodies of Revolution Formula

​LaTeX ​Go
Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis
Cp = 2*(θ)^2+kc*y

What is a pressure coefficient?

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics.

How to Calculate Pressure Coefficient for Slender Bodies of Revolution?

Pressure Coefficient for Slender Bodies of Revolution calculator uses Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis to calculate the Pressure Coefficient, Pressure Coefficient for Slender Bodies of Revolution formula is defined as a measure of the aerodynamic efficiency of slender bodies in hypersonic flow, reflecting the relationship between pressure variations and the body's curvature and angle of attack. Pressure Coefficient is denoted by Cp symbol.

How to calculate Pressure Coefficient for Slender Bodies of Revolution using this online calculator? To use this online calculator for Pressure Coefficient for Slender Bodies of Revolution, enter Angle of Inclination (θ), Curvature of Surface (kc) & Distance of Point from Centroidal Axis (y) and hit the calculate button. Here is how the Pressure Coefficient for Slender Bodies of Revolution calculation can be explained with given input values -> 0.302148 = 2*(0.55850536063808)^2+0.2*1.2.

FAQ

What is Pressure Coefficient for Slender Bodies of Revolution?
Pressure Coefficient for Slender Bodies of Revolution formula is defined as a measure of the aerodynamic efficiency of slender bodies in hypersonic flow, reflecting the relationship between pressure variations and the body's curvature and angle of attack and is represented as Cp = 2*(θ)^2+kc*y or Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis. The Angle of Inclination is the angle between a reference plane and the surface of a body, influencing the flow behavior in fluid mechanics, The Curvature of Surface is a measure of how much a surface deviates from being flat, influencing fluid flow behavior in various mechanical applications & The Distance of Point from Centroidal Axis is the measurement from a specific point to the centroidal axis, important for analyzing fluid flow in hypersonic conditions.
How to calculate Pressure Coefficient for Slender Bodies of Revolution?
Pressure Coefficient for Slender Bodies of Revolution formula is defined as a measure of the aerodynamic efficiency of slender bodies in hypersonic flow, reflecting the relationship between pressure variations and the body's curvature and angle of attack is calculated using Pressure Coefficient = 2*(Angle of Inclination)^2+Curvature of Surface*Distance of Point from Centroidal Axis. To calculate Pressure Coefficient for Slender Bodies of Revolution, you need Angle of Inclination (θ), Curvature of Surface (kc) & Distance of Point from Centroidal Axis (y). With our tool, you need to enter the respective value for Angle of Inclination, Curvature of Surface & Distance of Point from Centroidal Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure Coefficient?
In this formula, Pressure Coefficient uses Angle of Inclination, Curvature of Surface & Distance of Point from Centroidal Axis. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pressure Coefficient = 2*(Angle of Inclination^2+Curvature of Surface*Distance of Point from Centroidal Axis)
  • Pressure Coefficient = Maximum Pressure Coefficient*(sin(Angle of Inclination))^2
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